Answered: Georgia is taking a course in…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

Georgia is taking a course in statistics (course A) and a course in criminal justice (course B). At the midterm, both professors show the class their performance by providing a score that is the total points accumulated, plus the mean points and standard deviation of points for the whole class . Georgia's points for the statistics course are 780, the class mean is 720 and the standard deviation is 120. For criminal justice, Georgia's points are 745 with a class mean of 700 and a standard deviation of 15. Using z-scores, determine the course is Georgia doing better in.

a) z-score for statistics

b) z-score for criminal justice

c) Which is better (answer A or B)?

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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